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88416384 = 2737237127
BaseRepresentation
bin1010100010100…
…10000010000000
320011101000110220
411101102002000
5140113311014
612435023040
72122345500
oct521220200
9204330426
1088416384
11459aa5a1
122573aa80
13154191b4
14ba57a00
157b676a9
hex5452080

88416384 has 192 divisors, whose sum is σ = 282792960. Its totient is φ = 24385536.

The previous prime is 88416379. The next prime is 88416403. The reversal of 88416384 is 48361488.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×884163843 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 696129 + ... + 696255.

It is an arithmetic number, because the mean of its divisors is an integer number (1472880).

Almost surely, 288416384 is an apocalyptic number.

88416384 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88416384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141396480).

88416384 is an abundant number, since it is smaller than the sum of its proper divisors (194376576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

88416384 is a wasteful number, since it uses less digits than its factorization.

88416384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 176 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 88416384 is about 9402.9986706369. The cubic root of 88416384 is about 445.4964522108.

It can be divided in two parts, 8841 and 6384, that added together give a triangular number (15225 = T174).

The spelling of 88416384 in words is "eighty-eight million, four hundred sixteen thousand, three hundred eighty-four".